Maysville Community & Technical College
Mathematics, Science, & Agriculture Division
2015-2016 Syllabus
Calculus I
MAT 175 908N (91764)
Nicholas County High School
Instructor:
Office:
Phone:
Email:
Office Hours:
Peter Chamness
NCHS Room 207
859-289-3780x3139
peter.chamness@nicholas.kyschools.us
TBA
Division Chair:
Office:
Phone:
Email:
Dr. Angela Fultz
MC S-201C
(606) 759-7141 ext. 66133
angela.fultz@kctcs.edu
5 Credit Hours
Textbook: Thomas' Calculus Early Transcendentals, Single Variable, 12th. Thomas, Weir, &
Hass, 2010.
Required Supplies: In addition to the textbook, you will be required to have a graphing
calculator. Calculators that contain a computer algebra system (CAS) are not permitted. (TI-83
or TI-84 is strongly recommended)
Description: Examines one-variable calculus including limits, differentiation and integration of
algebraic, trigonometric, exponential, logarithmic, hyperbolic, and inverse trigonometric
functions with applications.
Prerequisites: College Algebra and Trigonometry, or equivalent, with grades of `C' or higher;
Math ACT 27 or above; KCTCS placement exam recommendation; or consent of instructor.
Course Objectives: To provide a solid foundation of the concepts and techniques of singlevariable calculus including limits, continuity, differentiation, and integration of elementary
functions with applications from biology, chemistry, economics, engineering, and physics.
Course Structure: This class will consist of a combination of discussion, lecture, quizzes,
homework, group work, boardwork, and examinations.
Course Outline: Selected topics from Chapters 1 - 5.
Class Courtesy: Courtesy is expected towards other students and the instructor at all times.
Arriving on time is basic courtesy towards the class. If you are delayed and arrive late please
minimize the disruption you create upon entering. You are encouraged to keep your cell phone
o_ during class. No eating or drinking is allowed in classrooms.
Attendance: Attendance is required, but will not directly affect your grade. You are expected to
come to class and to be on time. If you miss class or any portion of class for any reason, it is
your responsibility to inquire what you need to do to make up any missed work. Attendance will
be taken at every class meeting.
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Withdrawal Policy: If you wish to drop this course and receive a grade of W, you must fill out
the drop form and handle all the paperwork prior to the drop date on March 11th. Following
March 11th, students requesting a withdraw who have two or more weeks of absences will not
receive a grade of W, except for documented evidence of a significant personal or medical
problem. The last possible day for all withdrawals is on May 3rd.
Grading: Grades for this course will be calculated based on the following scale:
Regular Exams
Skills Exams
Written Homework
Quizzes
Final Exam
40%
20%
10%
10%
20%
90% - 100%
80% - 89%
70% - 79%
60% - 69%
Below 60%
A
B
C
D
E
Exam Policy: There will be four hourly, in-class exams. These exams will evaluate your
understanding of the material from lectures and homework. Each regular exam will carry equal
weight. You may not use notes or homework on any exam. All work must be shown to receive
credit for anything collected on paper. Regular exams may not be made up. If you miss a
regular exam or your final exam score is higher than one of your regular exam scores, then your
final exam score will be used in place of that grade.
Quizzes: Quizzes will be given weekly, starting with the first week. You will be allowed to use
your notes and homework on some quizzes. All quizzes will carry the same weight. You may not
make-up a quiz for any reason. The lowest two quiz scores will be dropped at the end of the
semester.
Homework: You will be assigned daily homework from the textbook. Homework assignments
will be collected _ve times throughout the semester. Selected problems from each assignment
will be graded, with each assignment worth 20 points. If you miss class for any reason, it is your
responsibility to determine the homework assignment missed. Late or incomplete homework
submissions will receive zero points.
Skills Exams: There will also be five skills exams given throughout the course. You must score
at least 70% on each skills exam to pass this class. You may retake any skills exam in order to
achieve a 70%. Skills exams are the only exams that a retest will be offered. The maximum
score achievable on the first retake attempt is 90%. The maximum score on all later attempts is
80%. The highest score will be counted.
If you do not pass a skills exam, you will be required to receive tutoring from the instructor
before you can take a retest. Each skills exam will be given during class time. The last possible
date to complete a skills exam is May 3rd.
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Course Competencies: Upon completion of this course, the student can:
1. Approximate limits graphically and numerically and evaluate limits analytically.
2. List the conditions for the continuity of a function at a point and determine the intervals of
continuity of a function.
3. Evaluate infinite limits and limits at infinity.
4. Define the derivative of a function and evaluate the derivative of a function using the
definition.
5. Evaluate the derivative of a function using differentiation rules for algebraic and
trigonometric functions as well as product, quotient, and chain rules.
6. Use the derivative of a function to find the equation of the line tangent to the graph of the
function at a given point.
7. Sketch the graph of a function using the first and second derivatives to determine the
critical points, intervals on which the function is either increasing or decreasing, relative
extrema, intervals on which the graph is either concave up or concave down, and
inflection points of the graph.
8. Use implicit differentiation to find the equation of the line tangent to the graph of an
equation at a given point.
9. Use derivatives to solve application problems including problems involving related rates
and optimization.
10. Define the differential and use differentials to approximate function values.
11. Use Riemann sums to find the area under a curve.
12. Find indefinite and definite integrals of a function using integration rules for algebraic and
trigonometric functions.
13. Find definite and indefinite integrals using substitution.
14. Find the average value of a function on an interval.
15. Use definite integrals to find the area under a curve and the area between two curves.
16. Find derivatives of exponential, logarithmic, inverse trigonometric, hyperbolic, and
inverse hyperbolic functions.
17. Find integrals of exponential and logarithmic functions.
18. Find integrals using inverse trigonometric and inverse hyperbolic functions.
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General Education Competencies:
The General Education courses offered at Maysville Community and Technical College support
the Kentucky Community and Technical College System approved set of general education
competencies. These competencies are listed below:
A. Knowledge of human cultures and the physical and natural worlds through study in the
sciences and mathematics, social sciences, humanities, histories, languages, and the arts.
B. Intellectual and practical skills, including
 inquiry and analysis
 critical and creative thinking
 written and oral communication
 quantitative literacy
 information literacy
 teamwork and problem solving
C. Personal and social responsibility, including
 civic knowledge and engagement (local and global)
 intercultural knowledge and competence
 ethical reasoning and action
 foundations and skills for lifelong learning
D. Integrative and applied learning, including synthesis and advanced accomplishment across
general and specialized skills.
As such, MAT 175 speci_cally addresses the following Student Learning Outcome(s) from the
General Education Competencies:





Illustrate and communicate mathematical and/or statistical information symbolically,
visually, and/or numerically.
Interpret information presented in mathematical and/or statistical forms.
Determine when computations are needed and to execute the appropriate
computations.
Make inferences, evaluate assumptions, and assess limitations in estimation modeling
and/or statistical analysis
Apply an appropriate model to the problem to be solved.
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H. AFFIDAVIT
---------------------------------------------------------------------------------------------------------------------------Calculus I
2015-2016
Student Name: ______________________________________________________________
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(including teacher web pages, bulletin boards, etc.):
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I have read and understand the attached class syllabus for Calculus I.
_____________________________________
____________________
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Date
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Date
Please complete the form below and return to Mr. Chamness before the assigned date.
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